{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### ❇️ Pandas 🐼: Hexagonal Bin plots\n",
    "Hexbin plots can be a useful alternative to scatter plots if your data are <br> too dense to plot each point individually."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(np.random.randn(1000, 2), columns=[\"a\", \"b\"])\n",
    "df[\"b\"] = df[\"b\"] + np.arange(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='a', ylabel='b'>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot.hexbin(x=\"a\", y=\"b\", gridsize=25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### ❇️ Hope you enjoyed reading!! 📖 \n",
    "##### ❇️ follow → @akshay_pachaar  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "env_twitter",
   "language": "python",
   "name": "env_twitter"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
